109087948800 has 648 divisors, whose sum is σ = 408206982456. Its totient is φ = 28877783040.

The previous prime is 109087948751. The next prime is 109087948807. The reversal of 109087948800 is 8849780901.

109087948800 is a `hidden beast` number, since 1 + 0 + 90 + 8 + 79 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109087948807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 796262332 + ... + 796262468.

It is an arithmetic number, because the mean of its divisors is an integer number (629949047).

Almost surely, 2^109087948800 is an apocalyptic number.

109087948800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109087948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204103491228).

109087948800 is an abundant number, since it is smaller than the sum of its proper divisors (299119033656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109087948800 is an frugal number, since it uses more digits than its factorization.

109087948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 109087948800 in words is "one hundred nine billion, eighty-seven million, nine hundred forty-eight thousand, eight hundred".